Search a number
-
+
12957437 = 37615741
BaseRepresentation
bin110001011011…
…011011111101
3220101022021002
4301123123331
511304114222
61141420045
7215064533
oct61333375
926338232
1012957437
117350129
12440a625
1328b8a2c
141a14153
15120e392
hexc5b6fd

12957437 has 8 divisors (see below), whose sum is σ = 13528152. Its totient is φ = 12398400.

The previous prime is 12957433. The next prime is 12957443. The reversal of 12957437 is 73475921.

It can be written as a sum of positive squares in 4 ways, for example, as 1267876 + 11689561 = 1126^2 + 3419^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12957437 - 22 = 12957433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12957437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (1691019).

Almost surely, 212957437 is an apocalyptic number.

It is an amenable number.

12957437 is a deficient number, since it is larger than the sum of its proper divisors (570715).

12957437 is an equidigital number, since it uses as much as digits as its factorization.

12957437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839.

The product of its digits is 52920, while the sum is 38.

The square root of 12957437 is about 3599.6440101766. The cubic root of 12957437 is about 234.8765731811.

The spelling of 12957437 in words is "twelve million, nine hundred fifty-seven thousand, four hundred thirty-seven".

Divisors: 1 37 61 2257 5741 212417 350201 12957437